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Finding the Fourth Proportional to 58,115.04, 80,236.08 and 35,772

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Solution

The fourth proportional to 58,115.04, 80,236.08 and 35,772 is: 49,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,115.04 : 80,236.08 = 35,772 : x
  2. Step 2: Convert to fraction form
    58,115.04/80,236.08 = 35,772/x
  3. Step 3: Cross multiply
    58,115.04x = 80,236.08 × 35,772
  4. Step 4: Simplify right side
    58,115.04x = 2,870,205,053.76
  5. Step 5: Solve for x
    x = 2,870,205,053.76/58,115.04
  6. Step 6: Final answer
    x = 49,388.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.